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Finding the Third Proportional to 237,188 and 513,736

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Solution

The third proportional to 237,188 and 513,736 is: 1,112,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,188 : 513,736 = 513,736 : x
  2. Step 2: Convert to fraction form
    237,188/513,736 = 513,736/x
  3. Step 3: Cross multiply
    237,188x = 513,736 × 513,736
  4. Step 4: Simplify right side
    237,188x = 263,924,677,696
  5. Step 5: Solve for x
    x = 263,924,677,696/237,188
  6. Step 6: Final answer
    x = 1,112,723.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.